System of Particles and Rotational Motion - Result Question 57
61. The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint and perpendicular to its length is $I_0$. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
(a) $I_0+ML^{2} / 2$
(c) $I_0+2 ML^{2}$
(b) $I_0+ML^{2} / 4$
(d) $I_0+ML^{2}$
[2011]
Show Answer
Answer:
Correct Answer: 61. (b)
Solution:
- (b) By theorem of parallel axes,
$I=I _{cm}+Md^{2}$
$I=I_0+M(L / 2)^{2}=I_0+ML^{2} / 4$
